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Simplifying 4(a + -2) = 3a + 12 Reorder the terms: 4(-2 + a) = 3a + 12 (-2 * 4 + a * 4) = 3a + 12 (-8 + 4a) = 3a + 12 Reorder the terms: -8 + 4a = 12 + 3a Solving -8 + 4a = 12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -8 + 4a + -3a = 12 + 3a + -3a Combine like terms: 4a + -3a = 1a -8 + 1a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 1a = 12 + 0 -8 + 1a = 12 Add '8' to each side of the equation. -8 + 8 + 1a = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 1a = 12 + 8 1a = 12 + 8 Combine like terms: 12 + 8 = 20 1a = 20 Divide each side by '1'. a = 20 Simplifying a = 20
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